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Finding the Third Proportional to 41,818.50 and 90,195.75

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Solution

The third proportional to 41,818.50 and 90,195.75 is: 194,537.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,818.50 : 90,195.75 = 90,195.75 : x
  2. Step 2: Convert to fraction form
    41,818.50/90,195.75 = 90,195.75/x
  3. Step 3: Cross multiply
    41,818.50x = 90,195.75 × 90,195.75
  4. Step 4: Simplify right side
    41,818.50x = 8,135,273,318.06
  5. Step 5: Solve for x
    x = 8,135,273,318.06/41,818.50
  6. Step 6: Final answer
    x = 194,537.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.